Explicit Traveling Wave Solutions and Their Dynamical Behaviors for the Coupled Higgs Field Equation

Explicit Traveling Wave Solutions and Their Dynamical Behaviors for the Coupled Higgs Field Equation

Year:    2022

Author:    Keqin Zhao, Zhenshu Wen

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 465–474

Abstract

In this paper, we focus on the traveling wave solutions of the coupled Higgs field equation from the perspective of dynamical systems. Through the phase portraits, in addition to periodic wave solutions and solitary wave solutions, we also obtain explicit periodic singular wave solutions, singular wave solutions and kink wave solutions, which were not found in the previous works. The dynamical behavior of these solutions and their internal relations are revealed through asymptotic analysis. The results will help supplement the study of field equation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2022.465

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 465–474

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Coupled Higgs field equation Traveling wave solutions Kink wave solutions.

Author Details

Keqin Zhao

Zhenshu Wen